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Finding the Fourth Proportional to 51,208, 70,670.64 and 28,852

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Solution

The fourth proportional to 51,208, 70,670.64 and 28,852 is: 39,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,208 : 70,670.64 = 28,852 : x
  2. Step 2: Convert to fraction form
    51,208/70,670.64 = 28,852/x
  3. Step 3: Cross multiply
    51,208x = 70,670.64 × 28,852
  4. Step 4: Simplify right side
    51,208x = 2,038,989,305.28
  5. Step 5: Solve for x
    x = 2,038,989,305.28/51,208
  6. Step 6: Final answer
    x = 39,817.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.